Introduzione alla teoria della misura e all'analisi funzionale

Il libro introduce la teoria della misura e l'analisi funzionale con una coda di argomenti scelti. Contiene un'ampia gamma di esempi ed esercizi, per i quali si forniscono spesso suggerimenti generosi. É rivolto principalmente a studenti della laurea in Matematica e Ingegneria.

List of contents

Misura e integrazione.- Spazi di misura.- Integrazione.- Spazi L p .- Misure prodotto.- Analisi funzionale.- Spazi di Hilbert.- Spazi di Banach.- Capitoli scelti.- Funzioni a variazione limitata e funzioni assolutamente continue.- Misure con segno.- Funzioni multivoche.

Summary

Il libro introduce la teoria della misura e l'analisi funzionale con una coda di argomenti scelti. Contiene un'ampia gamma di esempi ed esercizi, per i quali si forniscono spesso suggerimenti generosi. É rivolto principalmente a studenti della laurea in Matematica e Ingegneria.

Additional text

From the reviews:
“This textbook is concerned with measure and integration theory, as well as some topics in real analysis and functional analysis. … this book covers much of the basic material of a course on higher analysis … . Moreover, it contains a wealth of interesting examples and problems, so it may also serve as a collection of exercises for autonomous work. This book may be warmly recommended to any student of mathematics or physics … .” (Jürgen Appell, Zentralblatt MATH, Vol. 1225, 2012)

Report

From the reviews:

"This textbook is concerned with measure and integration theory, as well as some topics in real analysis and functional analysis. ... this book covers much of the basic material of a course on higher analysis ... . Moreover, it contains a wealth of interesting examples and problems, so it may also serve as a collection of exercises for autonomous work. This book may be warmly recommended to any student of mathematics or physics ... ." (Jürgen Appell, Zentralblatt MATH, Vol. 1225, 2012)

Product details

• Authors: Piermarc Cannarsa, Piermarco Cannarsa, Teresa D'Aprile
• Publisher: Springer, Berlin
• Languages: Italian
• Product format: Paperback / Softback
• Released: 03.02.2011
• EAN: 9788847007017
• ISBN: 978-88-470-0701-7
• No. of pages: 268
• Weight: 548 g
• Illustrations: XII, 268 pagg.
• Series: UNITEXT /La Matematica per il 3+2; UNITEXT; La Matematica per il 3+2; UNITEXT; La Matematica per il 3+2
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Analysis, C, Optimization, measure theory, Mathematics and Statistics, Functional Analysis, Partial Differential Equations, Differential calculus & equations, Integral calculus & equations, Calculus of Variations and Optimization, Calculus of variations, Calculus of Variations and Optimal Control; Optimization, Analysis (Mathematics), Functional analysis & transforms, Mathematical analysis, Measure and Integration